Finding the Third Proportional to 98,491 and 147,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,491 : 147,706.50 = 147,706.50 : x
2. Step 2: Convert to fraction form
   98,491/147,706.50 = 147,706.50/x
3. Step 3: Cross multiply
   98,491x = 147,706.50 × 147,706.50
4. Step 4: Simplify right side
   98,491x = 21,817,210,142.25
5. Step 5: Solve for x
   x = 21,817,210,142.25/98,491
6. Step 6: Final answer
   x = 221,514.76