Finding the Third Proportional to 129,123 and 188,547.75

Step by Step Solution

1. Step 1: Write the proportion equation
   129,123 : 188,547.75 = 188,547.75 : x
2. Step 2: Convert to fraction form
   129,123/188,547.75 = 188,547.75/x
3. Step 3: Cross multiply
   129,123x = 188,547.75 × 188,547.75
4. Step 4: Simplify right side
   129,123x = 35,550,254,030.06
5. Step 5: Solve for x
   x = 35,550,254,030.06/129,123
6. Step 6: Final answer
   x = 275,320.85