Finding the Third Proportional to 83,023 and 183,490.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,023 : 183,490.50 = 183,490.50 : x
2. Step 2: Convert to fraction form
   83,023/183,490.50 = 183,490.50/x
3. Step 3: Cross multiply
   83,023x = 183,490.50 × 183,490.50
4. Step 4: Simplify right side
   83,023x = 33,668,763,590.25
5. Step 5: Solve for x
   x = 33,668,763,590.25/83,023
6. Step 6: Final answer
   x = 405,535.38