Finding the Third Proportional to 138,166 and 211,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,166 : 211,258.50 = 211,258.50 : x
2. Step 2: Convert to fraction form
   138,166/211,258.50 = 211,258.50/x
3. Step 3: Cross multiply
   138,166x = 211,258.50 × 211,258.50
4. Step 4: Simplify right side
   138,166x = 44,630,153,822.25
5. Step 5: Solve for x
   x = 44,630,153,822.25/138,166
6. Step 6: Final answer
   x = 323,018.35