Finding the Third Proportional to 272,658 and 416,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   272,658 : 416,368.50 = 416,368.50 : x
2. Step 2: Convert to fraction form
   272,658/416,368.50 = 416,368.50/x
3. Step 3: Cross multiply
   272,658x = 416,368.50 × 416,368.50
4. Step 4: Simplify right side
   272,658x = 173,362,727,792.25
5. Step 5: Solve for x
   x = 173,362,727,792.25/272,658
6. Step 6: Final answer
   x = 635,824.83