Finding the Third Proportional to 40,527 and 85,468.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,527 : 85,468.50 = 85,468.50 : x
2. Step 2: Convert to fraction form
   40,527/85,468.50 = 85,468.50/x
3. Step 3: Cross multiply
   40,527x = 85,468.50 × 85,468.50
4. Step 4: Simplify right side
   40,527x = 7,304,864,492.25
5. Step 5: Solve for x
   x = 7,304,864,492.25/40,527
6. Step 6: Final answer
   x = 180,246.86