Finding the Third Proportional to 69,888 and 152,896

Step by Step Solution

1. Step 1: Write the proportion equation
   69,888 : 152,896 = 152,896 : x
2. Step 2: Convert to fraction form
   69,888/152,896 = 152,896/x
3. Step 3: Cross multiply
   69,888x = 152,896 × 152,896
4. Step 4: Simplify right side
   69,888x = 23,377,186,816
5. Step 5: Solve for x
   x = 23,377,186,816/69,888
6. Step 6: Final answer
   x = 334,495.00