Finding the Third Proportional to 147,178 and 233,152

Step by Step Solution

1. Step 1: Write the proportion equation
   147,178 : 233,152 = 233,152 : x
2. Step 2: Convert to fraction form
   147,178/233,152 = 233,152/x
3. Step 3: Cross multiply
   147,178x = 233,152 × 233,152
4. Step 4: Simplify right side
   147,178x = 54,359,855,104
5. Step 5: Solve for x
   x = 54,359,855,104/147,178
6. Step 6: Final answer
   x = 369,347.70