Finding the Third Proportional to 88,047 and 182,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   88,047 : 182,533.50 = 182,533.50 : x
2. Step 2: Convert to fraction form
   88,047/182,533.50 = 182,533.50/x
3. Step 3: Cross multiply
   88,047x = 182,533.50 × 182,533.50
4. Step 4: Simplify right side
   88,047x = 33,318,478,622.25
5. Step 5: Solve for x
   x = 33,318,478,622.25/88,047
6. Step 6: Final answer
   x = 378,416.97