Finding the Third Proportional to 105,971 and 148,528

Step by Step Solution

1. Step 1: Write the proportion equation
   105,971 : 148,528 = 148,528 : x
2. Step 2: Convert to fraction form
   105,971/148,528 = 148,528/x
3. Step 3: Cross multiply
   105,971x = 148,528 × 148,528
4. Step 4: Simplify right side
   105,971x = 22,060,566,784
5. Step 5: Solve for x
   x = 22,060,566,784/105,971
6. Step 6: Final answer
   x = 208,175.51