Finding the Third Proportional to 137,820 and 207,535.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,820 : 207,535.50 = 207,535.50 : x
2. Step 2: Convert to fraction form
   137,820/207,535.50 = 207,535.50/x
3. Step 3: Cross multiply
   137,820x = 207,535.50 × 207,535.50
4. Step 4: Simplify right side
   137,820x = 43,070,983,760.25
5. Step 5: Solve for x
   x = 43,070,983,760.25/137,820
6. Step 6: Final answer
   x = 312,516.21