Finding the Third Proportional to 116,331 and 186,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,331 : 186,643.50 = 186,643.50 : x
2. Step 2: Convert to fraction form
   116,331/186,643.50 = 186,643.50/x
3. Step 3: Cross multiply
   116,331x = 186,643.50 × 186,643.50
4. Step 4: Simplify right side
   116,331x = 34,835,796,092.25
5. Step 5: Solve for x
   x = 34,835,796,092.25/116,331
6. Step 6: Final answer
   x = 299,454.11