Finding the Third Proportional to 72,498 and 102,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,498 : 102,094.50 = 102,094.50 : x
2. Step 2: Convert to fraction form
   72,498/102,094.50 = 102,094.50/x
3. Step 3: Cross multiply
   72,498x = 102,094.50 × 102,094.50
4. Step 4: Simplify right side
   72,498x = 10,423,286,930.25
5. Step 5: Solve for x
   x = 10,423,286,930.25/72,498
6. Step 6: Final answer
   x = 143,773.44