Finding the Third Proportional to 83,130 and 178,074

Step by Step Solution

1. Step 1: Write the proportion equation
   83,130 : 178,074 = 178,074 : x
2. Step 2: Convert to fraction form
   83,130/178,074 = 178,074/x
3. Step 3: Cross multiply
   83,130x = 178,074 × 178,074
4. Step 4: Simplify right side
   83,130x = 31,710,349,476
5. Step 5: Solve for x
   x = 31,710,349,476/83,130
6. Step 6: Final answer
   x = 381,454.94