Finding the Third Proportional to 106,591,837,433 and 237,016,088,389

Step by Step Solution

1. Step 1: Write the proportion equation
   106,591,837,433 : 237,016,088,389 = 237,016,088,389 : x
2. Step 2: Convert to fraction form
   106,591,837,433/237,016,088,389 = 237,016,088,389/x
3. Step 3: Cross multiply
   106,591,837,433x = 237,016,088,389 × 237,016,088,389
4. Step 4: Simplify right side
   106,591,837,433x = 56,176,626,155,222,263,136,256
5. Step 5: Solve for x
   x = 56,176,626,155,222,263,136,256/106,591,837,433
6. Step 6: Final answer
   x = 527,025,591,340.74