Finding the Third Proportional to 150,213 and 233,935.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,213 : 233,935.50 = 233,935.50 : x
2. Step 2: Convert to fraction form
   150,213/233,935.50 = 233,935.50/x
3. Step 3: Cross multiply
   150,213x = 233,935.50 × 233,935.50
4. Step 4: Simplify right side
   150,213x = 54,725,818,160.25
5. Step 5: Solve for x
   x = 54,725,818,160.25/150,213
6. Step 6: Final answer
   x = 364,321.45