Finding the Third Proportional to 83,233 and 183,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,233 : 183,432.50 = 183,432.50 : x
2. Step 2: Convert to fraction form
   83,233/183,432.50 = 183,432.50/x
3. Step 3: Cross multiply
   83,233x = 183,432.50 × 183,432.50
4. Step 4: Simplify right side
   83,233x = 33,647,482,056.25
5. Step 5: Solve for x
   x = 33,647,482,056.25/83,233
6. Step 6: Final answer
   x = 404,256.51