Finding the Third Proportional to 117,581 and 177,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   117,581 : 177,432.50 = 177,432.50 : x
2. Step 2: Convert to fraction form
   117,581/177,432.50 = 177,432.50/x
3. Step 3: Cross multiply
   117,581x = 177,432.50 × 177,432.50
4. Step 4: Simplify right side
   117,581x = 31,482,292,056.25
5. Step 5: Solve for x
   x = 31,482,292,056.25/117,581
6. Step 6: Final answer
   x = 267,749.82