Finding the Third Proportional to 116,677.50 and 185,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,677.50 : 185,521.50 = 185,521.50 : x
2. Step 2: Convert to fraction form
   116,677.50/185,521.50 = 185,521.50/x
3. Step 3: Cross multiply
   116,677.50x = 185,521.50 × 185,521.50
4. Step 4: Simplify right side
   116,677.50x = 34,418,226,962.25
5. Step 5: Solve for x
   x = 34,418,226,962.25/116,677.50
6. Step 6: Final answer
   x = 294,985.98