Finding the Third Proportional to 164,924 and 250,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   164,924 : 250,517.50 = 250,517.50 : x
2. Step 2: Convert to fraction form
   164,924/250,517.50 = 250,517.50/x
3. Step 3: Cross multiply
   164,924x = 250,517.50 × 250,517.50
4. Step 4: Simplify right side
   164,924x = 62,759,017,806.25
5. Step 5: Solve for x
   x = 62,759,017,806.25/164,924
6. Step 6: Final answer
   x = 380,532.96