Finding the Third Proportional to 120,645 and 187,861.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,645 : 187,861.50 = 187,861.50 : x
2. Step 2: Convert to fraction form
   120,645/187,861.50 = 187,861.50/x
3. Step 3: Cross multiply
   120,645x = 187,861.50 × 187,861.50
4. Step 4: Simplify right side
   120,645x = 35,291,943,182.25
5. Step 5: Solve for x
   x = 35,291,943,182.25/120,645
6. Step 6: Final answer
   x = 292,527.19