Finding the Third Proportional to 64,566 and 139,506

Step by Step Solution

1. Step 1: Write the proportion equation
   64,566 : 139,506 = 139,506 : x
2. Step 2: Convert to fraction form
   64,566/139,506 = 139,506/x
3. Step 3: Cross multiply
   64,566x = 139,506 × 139,506
4. Step 4: Simplify right side
   64,566x = 19,461,924,036
5. Step 5: Solve for x
   x = 19,461,924,036/64,566
6. Step 6: Final answer
   x = 301,426.82