Finding the Third Proportional to 106,026,164 and 164,078,112

Step by Step Solution

1. Step 1: Write the proportion equation
   106,026,164 : 164,078,112 = 164,078,112 : x
2. Step 2: Convert to fraction form
   106,026,164/164,078,112 = 164,078,112/x
3. Step 3: Cross multiply
   106,026,164x = 164,078,112 × 164,078,112
4. Step 4: Simplify right side
   106,026,164x = 26,921,626,837,484,544
5. Step 5: Solve for x
   x = 26,921,626,837,484,544/106,026,164
6. Step 6: Final answer
   x = 253,914,937.80