Finding the Third Proportional to 177,834 and 316,194.75

Step by Step Solution

1. Step 1: Write the proportion equation
   177,834 : 316,194.75 = 316,194.75 : x
2. Step 2: Convert to fraction form
   177,834/316,194.75 = 316,194.75/x
3. Step 3: Cross multiply
   177,834x = 316,194.75 × 316,194.75
4. Step 4: Simplify right side
   177,834x = 99,979,119,927.56
5. Step 5: Solve for x
   x = 99,979,119,927.56/177,834
6. Step 6: Final answer
   x = 562,204.75