Finding the Third Proportional to 138,404.25 and 216,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,404.25 : 216,832.50 = 216,832.50 : x
2. Step 2: Convert to fraction form
   138,404.25/216,832.50 = 216,832.50/x
3. Step 3: Cross multiply
   138,404.25x = 216,832.50 × 216,832.50
4. Step 4: Simplify right side
   138,404.25x = 47,016,333,056.25
5. Step 5: Solve for x
   x = 47,016,333,056.25/138,404.25
6. Step 6: Final answer
   x = 339,702.96