Finding the Third Proportional to 71,184 and 144,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,184 : 144,412.50 = 144,412.50 : x
2. Step 2: Convert to fraction form
   71,184/144,412.50 = 144,412.50/x
3. Step 3: Cross multiply
   71,184x = 144,412.50 × 144,412.50
4. Step 4: Simplify right side
   71,184x = 20,854,970,156.25
5. Step 5: Solve for x
   x = 20,854,970,156.25/71,184
6. Step 6: Final answer
   x = 292,972.72