Finding the Third Proportional to 110,830 and 148,532

Step by Step Solution

1. Step 1: Write the proportion equation
   110,830 : 148,532 = 148,532 : x
2. Step 2: Convert to fraction form
   110,830/148,532 = 148,532/x
3. Step 3: Cross multiply
   110,830x = 148,532 × 148,532
4. Step 4: Simplify right side
   110,830x = 22,061,755,024
5. Step 5: Solve for x
   x = 22,061,755,024/110,830
6. Step 6: Final answer
   x = 199,059.42