Finding the Third Proportional to 78,339 and 117,683.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,339 : 117,683.25 = 117,683.25 : x
2. Step 2: Convert to fraction form
   78,339/117,683.25 = 117,683.25/x
3. Step 3: Cross multiply
   78,339x = 117,683.25 × 117,683.25
4. Step 4: Simplify right side
   78,339x = 13,849,347,330.56
5. Step 5: Solve for x
   x = 13,849,347,330.56/78,339
6. Step 6: Final answer
   x = 176,787.39