Finding the Third Proportional to 77,769.50 and 116,627

Step by Step Solution

1. Step 1: Write the proportion equation
   77,769.50 : 116,627 = 116,627 : x
2. Step 2: Convert to fraction form
   77,769.50/116,627 = 116,627/x
3. Step 3: Cross multiply
   77,769.50x = 116,627 × 116,627
4. Step 4: Simplify right side
   77,769.50x = 13,601,857,129
5. Step 5: Solve for x
   x = 13,601,857,129/77,769.50
6. Step 6: Final answer
   x = 174,899.63