Finding the Third Proportional to 187,501.50 and 381,969

Step by Step Solution

1. Step 1: Write the proportion equation
   187,501.50 : 381,969 = 381,969 : x
2. Step 2: Convert to fraction form
   187,501.50/381,969 = 381,969/x
3. Step 3: Cross multiply
   187,501.50x = 381,969 × 381,969
4. Step 4: Simplify right side
   187,501.50x = 145,900,316,961
5. Step 5: Solve for x
   x = 145,900,316,961/187,501.50
6. Step 6: Final answer
   x = 778,128.80