Finding the Third Proportional to 38,490.19 and 78,823.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,490.19 : 78,823.13 = 78,823.13 : x
2. Step 2: Convert to fraction form
   38,490.19/78,823.13 = 78,823.13/x
3. Step 3: Cross multiply
   38,490.19x = 78,823.13 × 78,823.13
4. Step 4: Simplify right side
   38,490.19x = 6,213,085,034.77
5. Step 5: Solve for x
   x = 6,213,085,034.77/38,490.19
6. Step 6: Final answer
   x = 161,419.97