Finding the Third Proportional to 38,868.19 and 83,264.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38,868.19 : 83,264.63 = 83,264.63 : x
2. Step 2: Convert to fraction form
   38,868.19/83,264.63 = 83,264.63/x
3. Step 3: Cross multiply
   38,868.19x = 83,264.63 × 83,264.63
4. Step 4: Simplify right side
   38,868.19x = 6,932,997,776.39
5. Step 5: Solve for x
   x = 6,932,997,776.39/38,868.19
6. Step 6: Final answer
   x = 178,372.04