Finding the Third Proportional to 148,932 and 233,126

Step by Step Solution

1. Step 1: Write the proportion equation
   148,932 : 233,126 = 233,126 : x
2. Step 2: Convert to fraction form
   148,932/233,126 = 233,126/x
3. Step 3: Cross multiply
   148,932x = 233,126 × 233,126
4. Step 4: Simplify right side
   148,932x = 54,347,731,876
5. Step 5: Solve for x
   x = 54,347,731,876/148,932
6. Step 6: Final answer
   x = 364,916.42