Finding the Third Proportional to 138,362 and 207,543.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,362 : 207,543.50 = 207,543.50 : x
2. Step 2: Convert to fraction form
   138,362/207,543.50 = 207,543.50/x
3. Step 3: Cross multiply
   138,362x = 207,543.50 × 207,543.50
4. Step 4: Simplify right side
   138,362x = 43,074,304,392.25
5. Step 5: Solve for x
   x = 43,074,304,392.25/138,362
6. Step 6: Final answer
   x = 311,316.00