Finding the Third Proportional to 97,496 and 147,300

Step by Step Solution

1. Step 1: Write the proportion equation
   97,496 : 147,300 = 147,300 : x
2. Step 2: Convert to fraction form
   97,496/147,300 = 147,300/x
3. Step 3: Cross multiply
   97,496x = 147,300 × 147,300
4. Step 4: Simplify right side
   97,496x = 21,697,290,000
5. Step 5: Solve for x
   x = 21,697,290,000/97,496
6. Step 6: Final answer
   x = 222,545.44