Finding the Third Proportional to 120,426 and 187,532.25

Step by Step Solution

1. Step 1: Write the proportion equation
   120,426 : 187,532.25 = 187,532.25 : x
2. Step 2: Convert to fraction form
   120,426/187,532.25 = 187,532.25/x
3. Step 3: Cross multiply
   120,426x = 187,532.25 × 187,532.25
4. Step 4: Simplify right side
   120,426x = 35,168,344,790.06
5. Step 5: Solve for x
   x = 35,168,344,790.06/120,426
6. Step 6: Final answer
   x = 292,032.82