Finding the Third Proportional to 152,064 and 235,477.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,064 : 235,477.50 = 235,477.50 : x
2. Step 2: Convert to fraction form
   152,064/235,477.50 = 235,477.50/x
3. Step 3: Cross multiply
   152,064x = 235,477.50 × 235,477.50
4. Step 4: Simplify right side
   152,064x = 55,449,653,006.25
5. Step 5: Solve for x
   x = 55,449,653,006.25/152,064
6. Step 6: Final answer
   x = 364,646.81