Finding the Third Proportional to 97,419 and 152,280

Step by Step Solution

1. Step 1: Write the proportion equation
   97,419 : 152,280 = 152,280 : x
2. Step 2: Convert to fraction form
   97,419/152,280 = 152,280/x
3. Step 3: Cross multiply
   97,419x = 152,280 × 152,280
4. Step 4: Simplify right side
   97,419x = 23,189,198,400
5. Step 5: Solve for x
   x = 23,189,198,400/97,419
6. Step 6: Final answer
   x = 238,035.69