Finding the Third Proportional to 100,685 and 235,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,685 : 235,152.50 = 235,152.50 : x
2. Step 2: Convert to fraction form
   100,685/235,152.50 = 235,152.50/x
3. Step 3: Cross multiply
   100,685x = 235,152.50 × 235,152.50
4. Step 4: Simplify right side
   100,685x = 55,296,698,256.25
5. Step 5: Solve for x
   x = 55,296,698,256.25/100,685
6. Step 6: Final answer
   x = 549,204.93