Finding the Third Proportional to 148,936 and 233,132

Step by Step Solution

1. Step 1: Write the proportion equation
   148,936 : 233,132 = 233,132 : x
2. Step 2: Convert to fraction form
   148,936/233,132 = 233,132/x
3. Step 3: Cross multiply
   148,936x = 233,132 × 233,132
4. Step 4: Simplify right side
   148,936x = 54,350,529,424
5. Step 5: Solve for x
   x = 54,350,529,424/148,936
6. Step 6: Final answer
   x = 364,925.40