Finding the Third Proportional to 71,832 and 145,714.50

Step by Step Solution

1. Step 1: Write the proportion equation
   71,832 : 145,714.50 = 145,714.50 : x
2. Step 2: Convert to fraction form
   71,832/145,714.50 = 145,714.50/x
3. Step 3: Cross multiply
   71,832x = 145,714.50 × 145,714.50
4. Step 4: Simplify right side
   71,832x = 21,232,715,510.25
5. Step 5: Solve for x
   x = 21,232,715,510.25/71,832
6. Step 6: Final answer
   x = 295,588.53