Finding the Third Proportional to 83,391 and 192,889.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,391 : 192,889.50 = 192,889.50 : x
2. Step 2: Convert to fraction form
   83,391/192,889.50 = 192,889.50/x
3. Step 3: Cross multiply
   83,391x = 192,889.50 × 192,889.50
4. Step 4: Simplify right side
   83,391x = 37,206,359,210.25
5. Step 5: Solve for x
   x = 37,206,359,210.25/83,391
6. Step 6: Final answer
   x = 446,167.56