Finding the Third Proportional to 92,140.50 and 146,686.50

Step by Step Solution

1. Step 1: Write the proportion equation
   92,140.50 : 146,686.50 = 146,686.50 : x
2. Step 2: Convert to fraction form
   92,140.50/146,686.50 = 146,686.50/x
3. Step 3: Cross multiply
   92,140.50x = 146,686.50 × 146,686.50
4. Step 4: Simplify right side
   92,140.50x = 21,516,929,282.25
5. Step 5: Solve for x
   x = 21,516,929,282.25/92,140.50
6. Step 6: Final answer
   x = 233,523.04