Finding the Third Proportional to 38,885.25 and 83,298.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,885.25 : 83,298.75 = 83,298.75 : x
2. Step 2: Convert to fraction form
   38,885.25/83,298.75 = 83,298.75/x
3. Step 3: Cross multiply
   38,885.25x = 83,298.75 × 83,298.75
4. Step 4: Simplify right side
   38,885.25x = 6,938,681,751.56
5. Step 5: Solve for x
   x = 6,938,681,751.56/38,885.25
6. Step 6: Final answer
   x = 178,439.94