Finding the Third Proportional to 69,103.50 and 186,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,103.50 : 186,154.50 = 186,154.50 : x
2. Step 2: Convert to fraction form
   69,103.50/186,154.50 = 186,154.50/x
3. Step 3: Cross multiply
   69,103.50x = 186,154.50 × 186,154.50
4. Step 4: Simplify right side
   69,103.50x = 34,653,497,870.25
5. Step 5: Solve for x
   x = 34,653,497,870.25/69,103.50
6. Step 6: Final answer
   x = 501,472.40