Finding the Third Proportional to 64,542 and 138,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,542 : 138,970.50 = 138,970.50 : x
2. Step 2: Convert to fraction form
   64,542/138,970.50 = 138,970.50/x
3. Step 3: Cross multiply
   64,542x = 138,970.50 × 138,970.50
4. Step 4: Simplify right side
   64,542x = 19,312,799,870.25
5. Step 5: Solve for x
   x = 19,312,799,870.25/64,542
6. Step 6: Final answer
   x = 299,228.41