Finding the Third Proportional to 64,522 and 138,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   64,522 : 138,931.50 = 138,931.50 : x
2. Step 2: Convert to fraction form
   64,522/138,931.50 = 138,931.50/x
3. Step 3: Cross multiply
   64,522x = 138,931.50 × 138,931.50
4. Step 4: Simplify right side
   64,522x = 19,301,961,692.25
5. Step 5: Solve for x
   x = 19,301,961,692.25/64,522
6. Step 6: Final answer
   x = 299,153.18