Finding the Third Proportional to 69,924 and 152,263.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,924 : 152,263.50 = 152,263.50 : x
2. Step 2: Convert to fraction form
   69,924/152,263.50 = 152,263.50/x
3. Step 3: Cross multiply
   69,924x = 152,263.50 × 152,263.50
4. Step 4: Simplify right side
   69,924x = 23,184,173,432.25
5. Step 5: Solve for x
   x = 23,184,173,432.25/69,924
6. Step 6: Final answer
   x = 331,562.46