Finding the Third Proportional to 64,519 and 138,925.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,519 : 138,925.50 = 138,925.50 : x
2. Step 2: Convert to fraction form
   64,519/138,925.50 = 138,925.50/x
3. Step 3: Cross multiply
   64,519x = 138,925.50 × 138,925.50
4. Step 4: Simplify right side
   64,519x = 19,300,294,550.25
5. Step 5: Solve for x
   x = 19,300,294,550.25/64,519
6. Step 6: Final answer
   x = 299,141.25