Finding the Third Proportional to 72,032 and 149,840

Step by Step Solution

1. Step 1: Write the proportion equation
   72,032 : 149,840 = 149,840 : x
2. Step 2: Convert to fraction form
   72,032/149,840 = 149,840/x
3. Step 3: Cross multiply
   72,032x = 149,840 × 149,840
4. Step 4: Simplify right side
   72,032x = 22,452,025,600
5. Step 5: Solve for x
   x = 22,452,025,600/72,032
6. Step 6: Final answer
   x = 311,695.16