Finding the Third Proportional to 111,456 and 169,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,456 : 169,312.50 = 169,312.50 : x
2. Step 2: Convert to fraction form
   111,456/169,312.50 = 169,312.50/x
3. Step 3: Cross multiply
   111,456x = 169,312.50 × 169,312.50
4. Step 4: Simplify right side
   111,456x = 28,666,722,656.25
5. Step 5: Solve for x
   x = 28,666,722,656.25/111,456
6. Step 6: Final answer
   x = 257,202.15