Finding the Third Proportional to 86,520 and 187,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,520 : 187,726.50 = 187,726.50 : x
2. Step 2: Convert to fraction form
   86,520/187,726.50 = 187,726.50/x
3. Step 3: Cross multiply
   86,520x = 187,726.50 × 187,726.50
4. Step 4: Simplify right side
   86,520x = 35,241,238,802.25
5. Step 5: Solve for x
   x = 35,241,238,802.25/86,520
6. Step 6: Final answer
   x = 407,318.99