Finding the Third Proportional to 64,272 and 138,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,272 : 138,412.50 = 138,412.50 : x
2. Step 2: Convert to fraction form
   64,272/138,412.50 = 138,412.50/x
3. Step 3: Cross multiply
   64,272x = 138,412.50 × 138,412.50
4. Step 4: Simplify right side
   64,272x = 19,158,020,156.25
5. Step 5: Solve for x
   x = 19,158,020,156.25/64,272
6. Step 6: Final answer
   x = 298,077.24