Finding the Third Proportional to 109,659 and 148,594.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,659 : 148,594.50 = 148,594.50 : x
2. Step 2: Convert to fraction form
   109,659/148,594.50 = 148,594.50/x
3. Step 3: Cross multiply
   109,659x = 148,594.50 × 148,594.50
4. Step 4: Simplify right side
   109,659x = 22,080,325,430.25
5. Step 5: Solve for x
   x = 22,080,325,430.25/109,659
6. Step 6: Final answer
   x = 201,354.43