Finding the Third Proportional to 83,340 and 116,664

Step by Step Solution

1. Step 1: Write the proportion equation
   83,340 : 116,664 = 116,664 : x
2. Step 2: Convert to fraction form
   83,340/116,664 = 116,664/x
3. Step 3: Cross multiply
   83,340x = 116,664 × 116,664
4. Step 4: Simplify right side
   83,340x = 13,610,488,896
5. Step 5: Solve for x
   x = 13,610,488,896/83,340
6. Step 6: Final answer
   x = 163,312.80