Finding the Third Proportional to 76,570 and 114,938

Step by Step Solution

1. Step 1: Write the proportion equation
   76,570 : 114,938 = 114,938 : x
2. Step 2: Convert to fraction form
   76,570/114,938 = 114,938/x
3. Step 3: Cross multiply
   76,570x = 114,938 × 114,938
4. Step 4: Simplify right side
   76,570x = 13,210,743,844
5. Step 5: Solve for x
   x = 13,210,743,844/76,570
6. Step 6: Final answer
   x = 172,531.59