Finding the Third Proportional to 146,106 and 233,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,106 : 233,407.50 = 233,407.50 : x
2. Step 2: Convert to fraction form
   146,106/233,407.50 = 233,407.50/x
3. Step 3: Cross multiply
   146,106x = 233,407.50 × 233,407.50
4. Step 4: Simplify right side
   146,106x = 54,479,061,056.25
5. Step 5: Solve for x
   x = 54,479,061,056.25/146,106
6. Step 6: Final answer
   x = 372,873.54