Finding the Third Proportional to 78,322 and 117,507

Step by Step Solution

1. Step 1: Write the proportion equation
   78,322 : 117,507 = 117,507 : x
2. Step 2: Convert to fraction form
   78,322/117,507 = 117,507/x
3. Step 3: Cross multiply
   78,322x = 117,507 × 117,507
4. Step 4: Simplify right side
   78,322x = 13,807,895,049
5. Step 5: Solve for x
   x = 13,807,895,049/78,322
6. Step 6: Final answer
   x = 176,296.51