Finding the Third Proportional to 107,154 and 232,762.50

Step by Step Solution

1. Step 1: Write the proportion equation
   107,154 : 232,762.50 = 232,762.50 : x
2. Step 2: Convert to fraction form
   107,154/232,762.50 = 232,762.50/x
3. Step 3: Cross multiply
   107,154x = 232,762.50 × 232,762.50
4. Step 4: Simplify right side
   107,154x = 54,178,381,406.25
5. Step 5: Solve for x
   x = 54,178,381,406.25/107,154
6. Step 6: Final answer
   x = 505,612.31