Finding the Third Proportional to 186,934.50 and 290,002.50

Step by Step Solution

1. Step 1: Write the proportion equation
   186,934.50 : 290,002.50 = 290,002.50 : x
2. Step 2: Convert to fraction form
   186,934.50/290,002.50 = 290,002.50/x
3. Step 3: Cross multiply
   186,934.50x = 290,002.50 × 290,002.50
4. Step 4: Simplify right side
   186,934.50x = 84,101,450,006.25
5. Step 5: Solve for x
   x = 84,101,450,006.25/186,934.50
6. Step 6: Final answer
   x = 449,897.96