Finding the Third Proportional to 109,358 and 171,326.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,358 : 171,326.50 = 171,326.50 : x
2. Step 2: Convert to fraction form
   109,358/171,326.50 = 171,326.50/x
3. Step 3: Cross multiply
   109,358x = 171,326.50 × 171,326.50
4. Step 4: Simplify right side
   109,358x = 29,352,769,602.25
5. Step 5: Solve for x
   x = 29,352,769,602.25/109,358
6. Step 6: Final answer
   x = 268,409.90