Finding the Third Proportional to 77,906 and 116,726

Step by Step Solution

1. Step 1: Write the proportion equation
   77,906 : 116,726 = 116,726 : x
2. Step 2: Convert to fraction form
   77,906/116,726 = 116,726/x
3. Step 3: Cross multiply
   77,906x = 116,726 × 116,726
4. Step 4: Simplify right side
   77,906x = 13,624,959,076
5. Step 5: Solve for x
   x = 13,624,959,076/77,906
6. Step 6: Final answer
   x = 174,889.73