Finding the Third Proportional to 72,498 and 147,033

Step by Step Solution

1. Step 1: Write the proportion equation
   72,498 : 147,033 = 147,033 : x
2. Step 2: Convert to fraction form
   72,498/147,033 = 147,033/x
3. Step 3: Cross multiply
   72,498x = 147,033 × 147,033
4. Step 4: Simplify right side
   72,498x = 21,618,703,089
5. Step 5: Solve for x
   x = 21,618,703,089/72,498
6. Step 6: Final answer
   x = 298,197.23