Finding the Third Proportional to 116,188 and 173,820

Step by Step Solution

1. Step 1: Write the proportion equation
   116,188 : 173,820 = 173,820 : x
2. Step 2: Convert to fraction form
   116,188/173,820 = 173,820/x
3. Step 3: Cross multiply
   116,188x = 173,820 × 173,820
4. Step 4: Simplify right side
   116,188x = 30,213,392,400
5. Step 5: Solve for x
   x = 30,213,392,400/116,188
6. Step 6: Final answer
   x = 260,038.84