Finding the Third Proportional to 187,984 and 291,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   187,984 : 291,266.50 = 291,266.50 : x
2. Step 2: Convert to fraction form
   187,984/291,266.50 = 291,266.50/x
3. Step 3: Cross multiply
   187,984x = 291,266.50 × 291,266.50
4. Step 4: Simplify right side
   187,984x = 84,836,174,022.25
5. Step 5: Solve for x
   x = 84,836,174,022.25/187,984
6. Step 6: Final answer
   x = 451,294.65