Finding the Third Proportional to 138,127 and 207,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,127 : 207,704.50 = 207,704.50 : x
2. Step 2: Convert to fraction form
   138,127/207,704.50 = 207,704.50/x
3. Step 3: Cross multiply
   138,127x = 207,704.50 × 207,704.50
4. Step 4: Simplify right side
   138,127x = 43,141,159,320.25
5. Step 5: Solve for x
   x = 43,141,159,320.25/138,127
6. Step 6: Final answer
   x = 312,329.66