Finding the Third Proportional to 109,641 and 148,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,641 : 148,576.50 = 148,576.50 : x
2. Step 2: Convert to fraction form
   109,641/148,576.50 = 148,576.50/x
3. Step 3: Cross multiply
   109,641x = 148,576.50 × 148,576.50
4. Step 4: Simplify right side
   109,641x = 22,074,976,352.25
5. Step 5: Solve for x
   x = 22,074,976,352.25/109,641
6. Step 6: Final answer
   x = 201,338.70