Finding the Third Proportional to 121,896 and 265,657.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,896 : 265,657.50 = 265,657.50 : x
2. Step 2: Convert to fraction form
   121,896/265,657.50 = 265,657.50/x
3. Step 3: Cross multiply
   121,896x = 265,657.50 × 265,657.50
4. Step 4: Simplify right side
   121,896x = 70,573,907,306.25
5. Step 5: Solve for x
   x = 70,573,907,306.25/121,896
6. Step 6: Final answer
   x = 578,968.20