Finding the Third Proportional to 64,470 and 138,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,470 : 138,463.50 = 138,463.50 : x
2. Step 2: Convert to fraction form
   64,470/138,463.50 = 138,463.50/x
3. Step 3: Cross multiply
   64,470x = 138,463.50 × 138,463.50
4. Step 4: Simplify right side
   64,470x = 19,172,140,832.25
5. Step 5: Solve for x
   x = 19,172,140,832.25/64,470
6. Step 6: Final answer
   x = 297,380.81