Finding the Third Proportional to 122,634 and 271,471.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,634 : 271,471.50 = 271,471.50 : x
2. Step 2: Convert to fraction form
   122,634/271,471.50 = 271,471.50/x
3. Step 3: Cross multiply
   122,634x = 271,471.50 × 271,471.50
4. Step 4: Simplify right side
   122,634x = 73,696,775,312.25
5. Step 5: Solve for x
   x = 73,696,775,312.25/122,634
6. Step 6: Final answer
   x = 600,948.96