Finding the Third Proportional to 64,269 and 138,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,269 : 138,406.50 = 138,406.50 : x
2. Step 2: Convert to fraction form
   64,269/138,406.50 = 138,406.50/x
3. Step 3: Cross multiply
   64,269x = 138,406.50 × 138,406.50
4. Step 4: Simplify right side
   64,269x = 19,156,359,242.25
5. Step 5: Solve for x
   x = 19,156,359,242.25/64,269
6. Step 6: Final answer
   x = 298,065.31