Finding the Third Proportional to 64,732.50 and 138,465

Step by Step Solution

1. Step 1: Write the proportion equation
   64,732.50 : 138,465 = 138,465 : x
2. Step 2: Convert to fraction form
   64,732.50/138,465 = 138,465/x
3. Step 3: Cross multiply
   64,732.50x = 138,465 × 138,465
4. Step 4: Simplify right side
   64,732.50x = 19,172,556,225
5. Step 5: Solve for x
   x = 19,172,556,225/64,732.50
6. Step 6: Final answer
   x = 296,181.30