Finding the Third Proportional to 129,780 and 197,106.75

Step by Step Solution

1. Step 1: Write the proportion equation
   129,780 : 197,106.75 = 197,106.75 : x
2. Step 2: Convert to fraction form
   129,780/197,106.75 = 197,106.75/x
3. Step 3: Cross multiply
   129,780x = 197,106.75 × 197,106.75
4. Step 4: Simplify right side
   129,780x = 38,851,070,895.56
5. Step 5: Solve for x
   x = 38,851,070,895.56/129,780
6. Step 6: Final answer
   x = 299,361.00