Finding the Third Proportional to 194,139 and 415,265.06

Step by Step Solution

1. Step 1: Write the proportion equation
   194,139 : 415,265.06 = 415,265.06 : x
2. Step 2: Convert to fraction form
   194,139/415,265.06 = 415,265.06/x
3. Step 3: Cross multiply
   194,139x = 415,265.06 × 415,265.06
4. Step 4: Simplify right side
   194,139x = 172,445,072,133.13
5. Step 5: Solve for x
   x = 172,445,072,133.13/194,139
6. Step 6: Final answer
   x = 888,255.69