Finding the Third Proportional to 138,774 and 207,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,774 : 207,601.50 = 207,601.50 : x
2. Step 2: Convert to fraction form
   138,774/207,601.50 = 207,601.50/x
3. Step 3: Cross multiply
   138,774x = 207,601.50 × 207,601.50
4. Step 4: Simplify right side
   138,774x = 43,098,382,802.25
5. Step 5: Solve for x
   x = 43,098,382,802.25/138,774
6. Step 6: Final answer
   x = 310,565.26