Finding the Third Proportional to 91,772 and 189,254

Step by Step Solution

1. Step 1: Write the proportion equation
   91,772 : 189,254 = 189,254 : x
2. Step 2: Convert to fraction form
   91,772/189,254 = 189,254/x
3. Step 3: Cross multiply
   91,772x = 189,254 × 189,254
4. Step 4: Simplify right side
   91,772x = 35,817,076,516
5. Step 5: Solve for x
   x = 35,817,076,516/91,772
6. Step 6: Final answer
   x = 390,283.27