Finding the Third Proportional to 83,774.25 and 179,374.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,774.25 : 179,374.50 = 179,374.50 : x
2. Step 2: Convert to fraction form
   83,774.25/179,374.50 = 179,374.50/x
3. Step 3: Cross multiply
   83,774.25x = 179,374.50 × 179,374.50
4. Step 4: Simplify right side
   83,774.25x = 32,175,211,250.25
5. Step 5: Solve for x
   x = 32,175,211,250.25/83,774.25
6. Step 6: Final answer
   x = 384,070.42