Finding the Third Proportional to 109,640 and 148,566

Step by Step Solution

1. Step 1: Write the proportion equation
   109,640 : 148,566 = 148,566 : x
2. Step 2: Convert to fraction form
   109,640/148,566 = 148,566/x
3. Step 3: Cross multiply
   109,640x = 148,566 × 148,566
4. Step 4: Simplify right side
   109,640x = 22,071,856,356
5. Step 5: Solve for x
   x = 22,071,856,356/109,640
6. Step 6: Final answer
   x = 201,312.08