Finding the Third Proportional to 64,748.25 and 138,487.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,748.25 : 138,487.50 = 138,487.50 : x
2. Step 2: Convert to fraction form
   64,748.25/138,487.50 = 138,487.50/x
3. Step 3: Cross multiply
   64,748.25x = 138,487.50 × 138,487.50
4. Step 4: Simplify right side
   64,748.25x = 19,178,787,656.25
5. Step 5: Solve for x
   x = 19,178,787,656.25/64,748.25
6. Step 6: Final answer
   x = 296,205.50